Details

Time bar (total: 1.5s)

sample35.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
5.0ms256×pre80true

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
03112
116811
29659
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize8.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp
associate-*l/ associate-/r/
pow1 add-sqr-sqrt add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
21.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0311392
11550273
25001273

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
12.4b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/r*
prod-exp cbrt-unprod div-inv
associate-/l*
pow1 frac-2neg associate-*l/ clear-num associate-/l/ add-log-exp
flip3-- associate-/r/ flip--
Counts
2 → 75
Calls
2 calls:
15.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
23.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series202.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
121.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify65.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0443962
12261814
25001808

prune133.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify161.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0197299
1756277
23865273
35001273

prune59.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes9.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample389.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid
66.0ms8000×pre80true